Based on the four strings the original poster mentioned, I'd have to go with the GM7/D. If you went ahead and put the A string under that, I'd lean toward a D chord of some flavor, as Mike Dunbar suggested.

It is common for guitar voicings to leave out a note or two, such as the missing 7th (and 9th), which would be expected in a D11/A. Who would expect them? Keyboard players, of course, they have ten keys at a time to work with, if they want. Horn, winds, and string section arrangers are likewise spoiled for choice.

When you've only got six strings, you have to prioritize.

Just be glad you aren't playing a ukulele!